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Finding the Third Proportional to 122,722,616.53 and 264,571,641.56

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Solution

The third proportional to 122,722,616.53 and 264,571,641.56 is: 570,376,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,722,616.53 : 264,571,641.56 = 264,571,641.56 : x
  2. Step 2: Convert to fraction form
    122,722,616.53/264,571,641.56 = 264,571,641.56/x
  3. Step 3: Cross multiply
    122,722,616.53x = 264,571,641.56 × 264,571,641.56
  4. Step 4: Simplify right side
    122,722,616.53x = 69,998,153,519,075,976
  5. Step 5: Solve for x
    x = 69,998,153,519,075,976/122,722,616.53
  6. Step 6: Final answer
    x = 570,376,964.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.